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Finding the Third Proportional to 2,966,219,148 and 4,039,484,181

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Solution

The third proportional to 2,966,219,148 and 4,039,484,181 is: 5,501,087,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,219,148 : 4,039,484,181 = 4,039,484,181 : x
  2. Step 2: Convert to fraction form
    2,966,219,148/4,039,484,181 = 4,039,484,181/x
  3. Step 3: Cross multiply
    2,966,219,148x = 4,039,484,181 × 4,039,484,181
  4. Step 4: Simplify right side
    2,966,219,148x = 16,317,432,448,549,240,832
  5. Step 5: Solve for x
    x = 16,317,432,448,549,240,832/2,966,219,148
  6. Step 6: Final answer
    x = 5,501,087,962.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.